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InverseJacobiDC






Mathematica Notation

Traditional Notation









Elliptic Functions > InverseJacobiDC[z,m] > Representations through equivalent functions > With related functions > Involving elliptic integrals





http://functions.wolfram.com/09.40.27.0016.01









  


  










Input Form





InverseJacobiDC[z, m] == EllipticK[m] - (JacobiSN[InverseJacobiDC[z, m], m]/Sqrt[z^2 - 1]) Sqrt[(z^2 - m)/z^2] Sqrt[z^2] EllipticF[ArcCsc[z], m] /; !Exists[\[Tau], {Element[\[Tau], Reals], 0 < \[Tau] < 1}, Im[\[Tau]^2 z^2 - 1] == 0 && \[Tau]^2 z^2 - 1 < 0 && Im[\[Tau]^2 z^2 - m] == 0 && \[Tau]^2 z^2 - m < 0]










Standard Form





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MathML Form







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</ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <ci> m </ci> </apply> </apply> <cn type='integer'> 0 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02